I.10.25 Flux of the Vector Field

Condition: Find the flow of the vector field \ (\ vec {a} = p (x, y, z) i+0 (x, y, z) \ vec {\ jmath}+r (x, y, z) \ vec {k} \) through the closed surface using the Ostrogradsky formula. \ [2 \ sqrt {x^{2}+y^{2} \ leq z \ leq 4 \] \ [\ vec {a} = (4+y) \ vec {\ iMath}+\ left (x^{2} +2 y \ right) \ vec {\ jmath}+(x+z) \ vec {k} \]